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Graphs of Common Functions 1

Maths: Edexcel A Level Pure Maths, topic 2.5.5

Common Functions

To sketch a graph, see if it is linear, quadratic or cubic. Then plot some x and y coordinates and join them up in the right shape.

Linear

Linear

  • Linear functions are straight lines in the form y = mx + c.
Quadratic

Quadratic

  • Quadratic functions have an x2 term.
  • They are in the form y = ax2 + bx + c.
Cubic

Cubic

  • Cubic functions are in the form y = ax3 + bx2 + cx + d.
  • If a > 0, it starts in the bottom left and goes up to the right.
  • If a < 0, it starts in the top left and goes down to the right.

Test yourself on Graphs of Common Functions 1

  • What type of graph is this?

  • What type of graph is this?

  • What type of graph is this?

  • Is y = 2x3 + x2 + 4x - 6 cubic, quadratic or linear?

  • Is y = 3x2 + 4x - 6 cubic, quadratic or linear?

Practise this topic for free